Stable periodic solution of a discrete periodic Lotka-Volterra competition system with a feedback control

Stable periodic solution of a discrete periodic Lotka-Volterra competition system with a feedback control
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DOI:
10.1016/j.amc.2006.02.039
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发表时间:
2006-10
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
Xiaoxing Chen;Fengde Chen
Xiaoxing Chen;Fengde Chen
中科院分区:
其他
文献类型:
--
作者:
Xiaoxing Chen;Fengde Chen

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讨论了一类具有反馈控制的离散Lotka-Volterra竞争系统。我们首先得到系统的持久性。假设系统中的系数是周期的,我们得到了周期解的存在性。在一定的条件下,该周期解是全局稳定的。
This paper discusses a discrete Lotka–Volterra competition system with feedback controls. We first obtain the persistence of the system. Assuming that the coefficients in the system are periodic, we obtain the existence of a periodic solution. Moreover, under some additional conditions, this periodic solution is globally stable.